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education/computer engineering/ECE2700/Binary Logic.md
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@ -8,7 +8,7 @@ A binary NOT gate has a single input, and inverts that input.
| --- | --- | | --- | --- |
| 0 | 1 | | 0 | 1 |
| 1 | 0 | | 1 | 0 |
## Boolean Expression ## Mathematical Expression
A NOT operation is mathematically expressed using a bar: A NOT operation is mathematically expressed using a bar:
$$ y = \bar{x} $$ $$ y = \bar{x} $$
# AND Gate # AND Gate
@ -21,3 +21,12 @@ An AND gate will only output a 1 if *both* inputs are a one.
| 0 | 1 | 0 | | 0 | 1 | 0 |
| 1 | 0 | 0 | | 1 | 0 | 0 |
| 1 | 1 | 1 | | 1 | 1 | 1 |
## Mathematical Expression
An AND operation is mathematically expressed using a times symbol, or with no symbol at all
$$ y = x_1 \cdot x_2 = x_1x_2$$
# NAND Gate
A NAND gate outputs a 1 *unless* both inputs are enabled.
## Truth Table
|